document.write( "Question 1022200: One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #637940 by ankor@dixie-net.com(22740)\"\" \"About 
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One number is bigger than another by 406.
\n" ); document.write( " If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66.
\n" ); document.write( " Find the numbers.
\n" ); document.write( ":
\n" ); document.write( "a & b are the numbers
\n" ); document.write( "\" One number is bigger than another by 406.\"
\n" ); document.write( "b = a - 406
\n" ); document.write( "\" If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66.\"
\n" ); document.write( "\"%28%28a-66%29%29%2Fb\" = 3
\n" ); document.write( "3b = a - 66
\n" ); document.write( "replace b with (a-406)
\n" ); document.write( "3(a-406) = a - 66
\n" ); document.write( "3a - 1218 = a - 66
\n" ); document.write( "3a - a = 1218 - 66
\n" ); document.write( "2a = 1152
\n" ); document.write( "a = 1152/2
\n" ); document.write( "a = 576 is one number,
\n" ); document.write( "then
\n" ); document.write( "b = 576 - 406
\n" ); document.write( "b = 170
\n" ); document.write( ":
\n" ); document.write( "You can check this for yourself using long division; 170|576 \n" ); document.write( "
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